(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find and classify all critical points of

[tex]f(x,y) = x^3+2y^3-3x^2-3y^2-12y[/tex]

2. Relevant equations

3. The attempt at a solution

So I've gotten to

[tex]Fx = 3x^2 - 6x = 0[/tex]

[tex]Fy = 6y^2 - 6y - 12 = 0[/tex]

[tex]x=0, x=2, y=-1, y=2[/tex]

Now I can't remember how to find the critical points from here.

Any help is appreciated!

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Critical points of multivariables

**Physics Forums | Science Articles, Homework Help, Discussion**